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Finding the Fourth Proportional to 7,066, 9,751.08 and 4,271.50

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Solution

The fourth proportional to 7,066, 9,751.08 and 4,271.50 is: 5,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066 : 9,751.08 = 4,271.50 : x
  2. Step 2: Convert to fraction form
    7,066/9,751.08 = 4,271.50/x
  3. Step 3: Cross multiply
    7,066x = 9,751.08 × 4,271.50
  4. Step 4: Simplify right side
    7,066x = 41,651,738.22
  5. Step 5: Solve for x
    x = 41,651,738.22/7,066
  6. Step 6: Final answer
    x = 5,894.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.